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Finding the Fourth Proportional to 501.16, 691.69 and 314.81

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Solution

The fourth proportional to 501.16, 691.69 and 314.81 is: 434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.16 : 691.69 = 314.81 : x
  2. Step 2: Convert to fraction form
    501.16/691.69 = 314.81/x
  3. Step 3: Cross multiply
    501.16x = 691.69 × 314.81
  4. Step 4: Simplify right side
    501.16x = 217,749.35
  5. Step 5: Solve for x
    x = 217,749.35/501.16
  6. Step 6: Final answer
    x = 434.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.